State whether the following equations are true or false:
Does the following expression hold for any choice of k or m?
\sqrt{k}+\sqrt{m} = \sqrt{k+m}
Simplify the following:
Simplify the following:
Simplify the following:
Simplify the following:
Find the perimeter of the triangle in simplified surd form.
An athlete is participating in a race around the track shown in the diagram, which has dimensions in kilometres.
What is the length of one lap around this race track?
Define rational and irrational numbers and perform operations with surds and fractional indices.